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Finding the Third Proportional to 89,949 and 129,949

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Solution

The third proportional to 89,949 and 129,949 is: 187,736.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,949 : 129,949 = 129,949 : x
  2. Step 2: Convert to fraction form
    89,949/129,949 = 129,949/x
  3. Step 3: Cross multiply
    89,949x = 129,949 × 129,949
  4. Step 4: Simplify right side
    89,949x = 16,886,742,601
  5. Step 5: Solve for x
    x = 16,886,742,601/89,949
  6. Step 6: Final answer
    x = 187,736.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.